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Finding the Fourth Proportional to 20,140.82, 27,792.81 and 12,187.43

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Solution

The fourth proportional to 20,140.82, 27,792.81 and 12,187.43 is: 16,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.82 : 27,792.81 = 12,187.43 : x
  2. Step 2: Convert to fraction form
    20,140.82/27,792.81 = 12,187.43/x
  3. Step 3: Cross multiply
    20,140.82x = 27,792.81 × 12,187.43
  4. Step 4: Simplify right side
    20,140.82x = 338,722,926.38
  5. Step 5: Solve for x
    x = 338,722,926.38/20,140.82
  6. Step 6: Final answer
    x = 16,817.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.